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Finding the Third Proportional to 200,799 and 418,244

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Solution

The third proportional to 200,799 and 418,244 is: 871,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,799 : 418,244 = 418,244 : x
  2. Step 2: Convert to fraction form
    200,799/418,244 = 418,244/x
  3. Step 3: Cross multiply
    200,799x = 418,244 × 418,244
  4. Step 4: Simplify right side
    200,799x = 174,928,043,536
  5. Step 5: Solve for x
    x = 174,928,043,536/200,799
  6. Step 6: Final answer
    x = 871,159.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.